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Apply the trigonometric identity: $\sin\left(\theta \right)$$=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}$
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$\frac{2\cos\left(x\right)}{\frac{\sqrt{\sec\left(x\right)^2-1}}{\sec\left(x\right)}}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (2cos(x))/sin(x). Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}. Divide fractions \frac{2\cos\left(x\right)}{\frac{\sqrt{\sec\left(x\right)^2-1}}{\sec\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(x\right).